Right now this seems like a very huge deal but trust me the kind of story you are telling is not at all uncommon for teenagers, many people can recall friends who stabbed them in the back and disagreements with parents, this does not mean you should not be upset (if your sure its true) but life will go on.
In your mind (entirely, i know this from experience) when you go to school EVERYONE will be talking about you and looking at you this is not true, people will hear all kinds of assorted rumors does that mean they will believe it ? no , and those that do are not worthy of being your friends.